Acronym naquitant
Name penteractiquasitruncated penteractitriacontaditeron
Field of sections
 ©
Circumradius sqrt[13-4 sqrt(2)]/2 = 1.354911
Vertex figure
 ©
Colonel of regiment (is itself locally convex – no other uniform polyteral members)
External
links
hedrondude  

As abstract polytope naquitant is isomorphic to nottant, thereby interchanging the roles of octagrams and octagons, resp. replacing quith by tic, resp. quitit by tat, and thaquitoth by thatoth.


Incidence matrix according to Dynkin symbol

o3o3x3x4x4/3*c

. . . . .      | 640 |   3   1   1 |   3   3   3  1 |   1   3  3  3 |  1  1  3
---------------+-----+-------------+----------------+---------------+---------
. . x . .      |   2 | 960   *   * |   2   1   1  0 |   1   2  2  1 |  1  1  2
. . . x .      |   2 |   * 320   * |   0   3   0  1 |   0   3  0  3 |  1  0  3
. . . . x      |   2 |   *   * 320 |   0   0   3  1 |   0   0  3  3 |  0  1  3
---------------+-----+-------------+----------------+---------------+---------
. o3x . .      |   3 |   3   0   0 | 640   *   *  * |   1   1  1  0 |  1  1  1
. . x3x .      |   6 |   3   3   0 |   * 320   *  * |   0   2  0  1 |  1  0  2
. . x . x4/3*c |   8 |   4   0   4 |   *   * 240  * |   0   0  2  1 |  0  1  2
. . . x4x      |   8 |   0   4   4 |   *   *   * 80 |   0   0  0  3 |  0  0  3
---------------+-----+-------------+----------------+---------------+---------
o3o3x . .         4 |   6   0   0 |   4   0   0  0 | 160   *  *  * |  1  1  0
. o3x3x .        12 |  12   6   0 |   4   4   0  0 |   * 160  *  * |  1  0  1
. o3x . x4/3*c   24 |  24   0  12 |   8   0   6  0 |   *   * 80  * |  0  1  1
. . x3x4x4/3*c   48 |  24  24  24 |   0   8   6  6 |   *   *  * 40 |  0  0  2
---------------+-----+-------------+----------------+---------------+---------
o3o3x3x .        20 |  30  10   0 |  20  10   0  0 |   5   5  0  0 | 32  *  *
o3o3x . x4/3*c   64 |  96   0  32 |  64   0  24  0 |  16   0  8  0 |  * 10  *
. o3x3x4x4/3*c  192 | 192  96  96 |  64  64  48 24 |   0  16  8  8 |  *  * 10

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